Try the following and see if it does not give you the same information with out the Test Set ID.

1. In the ALM client Click on Dashboard -> Analysis View
2. Create a new folder under either the public or private root
3. Click on the folder that you just created and click the arrow beside the New Item icon in the tool bar above the tree structure and select Graph Wizard
4. Select Business View Graph and Next
5. Select Test Instances (Test_Instances) from the Business View tree and click Next
6. Select the use Current Project and click Next
7. On the filter page define a filter if needed and click Next
8. For the X-Axis select TestSet Name
9. For the Y-Axis select Count
10 For the Grouped By Test Instance Status click Finish to view the graph

Once you have looked at the graph and decided if it is the information that you are looking for you can click the add to Anaylsis Tree button and save the graph.

You can then add the new graph to the Analysis menu in the test lab by...

1. Right-click on the graph that you just created and select copy
2. Click on the Analysis Menus tabs
3. Right-click on the Test Sets Analysis Menu folder select paste. You should now see the graph that you previously created in the list of items in the folder.
4. Once you log out and back in you will see the graph listed in the Analysis drop-down menu when in Test Lab

Let me know if this is what you were looking for or not.